Home / 5,213-7,823.14-2,293.34

Finding the Fourth Proportional to 5,213, 7,823.14 and 2,293.34

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Solution

The fourth proportional to 5,213, 7,823.14 and 2,293.34 is: 3,441.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213 : 7,823.14 = 2,293.34 : x
  2. Step 2: Convert to fraction form
    5,213/7,823.14 = 2,293.34/x
  3. Step 3: Cross multiply
    5,213x = 7,823.14 × 2,293.34
  4. Step 4: Simplify right side
    5,213x = 17,941,119.89
  5. Step 5: Solve for x
    x = 17,941,119.89/5,213
  6. Step 6: Final answer
    x = 3,441.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.